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Finding the Third Proportional to 186,704 and 283,952

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Solution

The third proportional to 186,704 and 283,952 is: 431,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,704 : 283,952 = 283,952 : x
  2. Step 2: Convert to fraction form
    186,704/283,952 = 283,952/x
  3. Step 3: Cross multiply
    186,704x = 283,952 × 283,952
  4. Step 4: Simplify right side
    186,704x = 80,628,738,304
  5. Step 5: Solve for x
    x = 80,628,738,304/186,704
  6. Step 6: Final answer
    x = 431,853.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.